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Finding the Third Proportional to 129,903 and 194,872.50

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Solution

The third proportional to 129,903 and 194,872.50 is: 292,335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,903 : 194,872.50 = 194,872.50 : x
  2. Step 2: Convert to fraction form
    129,903/194,872.50 = 194,872.50/x
  3. Step 3: Cross multiply
    129,903x = 194,872.50 × 194,872.50
  4. Step 4: Simplify right side
    129,903x = 37,975,291,256.25
  5. Step 5: Solve for x
    x = 37,975,291,256.25/129,903
  6. Step 6: Final answer
    x = 292,335.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.